Geodesic
A new formulation of a criterion for the minimal logarithmic growth rate
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 60-62

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A new formulation of a criterion of minimal logarithmic growth rate for an arbitrary finite set with a set of operations defined on it is obtained. It turns out that a finite set with operations has the minimal logarithmic growth rate if and only if the set of operation is not contained in any maximal class differing from autodual functions and functions preserving any subset. 
@article{VMUMM_2020_5_a8,
     author = {S. A. Komkov},
     title = {A new formulation of a criterion for the minimal logarithmic growth rate},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {60--62},
     publisher = {mathdoc},
     number = {5},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2020_5_a8/}
}
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S. A. Komkov. A new formulation of a criterion for the minimal logarithmic growth rate. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 5 (2020), pp. 60-62. http://geodesic.mathdoc.fr/item/VMUMM_2020_5_a8/